335661600456 has 960 divisors, whose sum is σ = 1253245593600. Its totient is φ = 82959593472.

The previous prime is 335661600409. The next prime is 335661600457. The reversal of 335661600456 is 654006166533.

335661600456 is a `hidden beast` number, since 3 + 35 + 6 + 6 + 1 + 600 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×335661600456² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335661600457) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 996028320 + ... + 996028656.

It is an arithmetic number, because the mean of its divisors is an integer number (1305464160).

Almost surely, 2^335661600456 is an apocalyptic number.

335661600456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335661600456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626622796800).

335661600456 is an abundant number, since it is smaller than the sum of its proper divisors (917583993144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

335661600456 is a wasteful number, since it uses less digits than its factorization.

335661600456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

Adding to 335661600456 its reverse (654006166533), we get a palindrome (989667766989).

The spelling of 335661600456 in words is "three hundred thirty-five billion, six hundred sixty-one million, six hundred thousand, four hundred fifty-six".